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Finding the Third Proportional to 58,290 and 124,890

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Solution

The third proportional to 58,290 and 124,890 is: 267,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,290 : 124,890 = 124,890 : x
  2. Step 2: Convert to fraction form
    58,290/124,890 = 124,890/x
  3. Step 3: Cross multiply
    58,290x = 124,890 × 124,890
  4. Step 4: Simplify right side
    58,290x = 15,597,512,100
  5. Step 5: Solve for x
    x = 15,597,512,100/58,290
  6. Step 6: Final answer
    x = 267,584.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.